Urgent)
in the year 2000, the population of mexico was about 100 million, and it was growing by 1.53% per year. at this growth rate, the function f(x) = 100(1.0153)^x gives the population, in millions, x years after 2000. using this model, in what year would the population reach 106 million? round your answer to the nearest year.

a 500
b 2004
c 2005
d 2002

B.  2004.

Step-by-step explanation:

f(x) =  100(1.0153)^x

When f(x) = 106 million:

106 = 100(1.0153)^x

(1 .0153)^x =   106/100 = 1.06

Taking logs:

x ln 1.0153 = ln 1.06

x = ln 1.06 / ln 1.0153

= 3.837

So  x = 4 years.

So the year is 2000 + 4 =  2004.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet